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20434080 = 253542571
BaseRepresentation
bin100110111110…
…0110010100000
31102110011021210
41031330302200
520212342310
62005550120
7335454402
oct115746240
942404253
1020434080
1110597477
126a15340
134305b94
1429dcb72
151bd9820
hex137cca0

20434080 has 48 divisors (see below), whose sum is σ = 64368864. Its totient is φ = 5448960.

The previous prime is 20434079. The next prime is 20434081. The reversal of 20434080 is 8043402.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20434079) and next prime (20434081).

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (20434081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20806 + ... + 21765.

It is an arithmetic number, because the mean of its divisors is an integer number (1341018).

Almost surely, 220434080 is an apocalyptic number.

20434080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20434080 is an abundant number, since it is smaller than the sum of its proper divisors (43934784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20434080 is a wasteful number, since it uses less digits than its factorization.

20434080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42589 (or 42581 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 20434080 is about 4520.4070613165. The cubic root of 20434080 is about 273.3915138230.

Adding to 20434080 its reverse (8043402), we get a palindrome (28477482).

The spelling of 20434080 in words is "twenty million, four hundred thirty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 42571 85142 127713 170284 212855 255426 340568 425710 510852 638565 681136 851420 1021704 1277130 1362272 1702840 2043408 2554260 3405680 4086816 5108520 6811360 10217040 20434080